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Finding the Third Proportional to 44,630 and 69,143

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Solution

The third proportional to 44,630 and 69,143 is: 107,119.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,630 : 69,143 = 69,143 : x
  2. Step 2: Convert to fraction form
    44,630/69,143 = 69,143/x
  3. Step 3: Cross multiply
    44,630x = 69,143 × 69,143
  4. Step 4: Simplify right side
    44,630x = 4,780,754,449
  5. Step 5: Solve for x
    x = 4,780,754,449/44,630
  6. Step 6: Final answer
    x = 107,119.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.